60 research outputs found

    The symmetric Radon-Nikod\'ym property for tensor norms

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    We introduce the symmetric-Radon-Nikod\'ym property (sRN property) for finitely generated s-tensor norms ÎČ\beta of order nn and prove a Lewis type theorem for s-tensor norms with this property. As a consequence, if ÎČ\beta is a projective s-tensor norm with the sRN property, then for every Asplund space EE, the canonical map ⊗~ÎČn,sEâ€Č→(⊗~ÎČâ€Čn,sE)â€Č\widetilde{\otimes}_{\beta}^{n,s} E' \to \Big(\widetilde{\otimes}_{\beta'}^{n,s} E \Big)' is a metric surjection. This can be rephrased as the isometric isomorphism Qmin(E)=Q(E)\mathcal{Q}^{min}(E) = \mathcal{Q}(E) for certain polynomial ideal \Q. We also relate the sRN property of an s-tensor norm with the Asplund or Radon-Nikod\'{y}m properties of different tensor products. Similar results for full tensor products are also given. As an application, results concerning the ideal of nn-homogeneous extendible polynomials are obtained, as well as a new proof of the well known isometric isomorphism between nuclear and integral polynomials on Asplund spaces.Comment: 17 page

    Geometry of integral polynomials, MM-ideals and unique norm preserving extensions

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    We use the Aron-Berner extension to prove that the set of extreme points of the unit ball of the space of integral polynomials over a real Banach space XX is {±ϕk:ϕ∈X∗,∄ϕ∄=1}\{\pm \phi^k: \phi \in X^*, \| \phi\|=1\}. With this description we show that, for real Banach spaces XX and YY, if XX is a non trivial MM-ideal in YY, then ⹂^Ï”k,sk,sX\hat\bigotimes^{k,s}_{\epsilon_{k,s}} X (the kk-th symmetric tensor product of XX endowed with the injective symmetric tensor norm) is \emph{never} an MM-ideal in ⹂^Ï”k,sk,sY\hat\bigotimes^{k,s}_{\epsilon_{k,s}} Y. This result marks up a difference with the behavior of non-symmetric tensors since, when XX is an MM-ideal in YY, it is known that ⹂^Ï”kkX\hat\bigotimes^k_{\epsilon_k} X (the kk-th tensor product of XX endowed with the injective tensor norm) is an MM-ideal in ⹂^Ï”kkY\hat\bigotimes^k_{\epsilon_k} Y. Nevertheless, if XX is Asplund, we prove that every integral kk-homogeneous polynomial in XX has a unique extension to YY that preserves the integral norm. We explicitly describe this extension. We also give necessary and sufficient conditions (related with the continuity of the Aron-Berner extension morphism) for a fixed kk-homogeneous polynomial PP belonging to a maximal polynomial ideal \Q(^kX) to have a unique norm preserving extension to \Q(^kX^{**}). To this end, we study the relationship between the bidual of the symmetric tensor product of a Banach space and the symmetric tensor product of its bidual and show (in the presence of the BAP) that both spaces have `the same local structure'. Other applications to the metric and isomorphic theory of symmetric tensor products and polynomial ideals are also given.Comment: 25 page

    An Investigation of the Steady-State Pharmacokinetics of Oral Valacyclovir in Immunocompromised Children

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    Valacyclovir was administered to 28 immunocompromised children (ages 5-12 years) to obtain preliminary pharmacokinetic and safety information. Patients were randomized to valacyclovir regimens of 250 mg (9.4-13.3 mg/kg) or 500 mg (13.9-27.0 mg/kg) twice daily or 500 mg (13.2-21.7 mg/kg) 3 times a day. Acyclovir pharmacokinetics were evaluated at steady state. Valacyclovir was rapidly absorbed and converted to acyclovir. Mean (±SD) acyclovir peak concentrations from 250 mg and 500 mg valacyclovir were 4.11±1.41 and 5.19±1.96 ÎŒg/mL, respectively. Corresponding single dose area-under-curve values were 12.14±6.60 and 14.49±4.69hĂ—ÎŒg/mL. By using historical data for intravenous acyclovir as reference, the overall estimate of acyclovir bioavailability from valacyclovir was 48%, 2- to 4-fold greater than for oral acyclovir. In general, adverse events were not attributable to valacyclovir and were consistent with disease-related expectations and concomitant therapies. Dosage options for using valacyclovir in children are discusse

    The role of water fittings in intensive care rooms as reservoirs for the colonization of patients with Pseudomonas aeruginosa

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    International audienceOBJECTIVE: To assess the role of the water environment in the Pseudomonas aeruginosa colonization of patients in intensive care units in the absence of a recognized outbreak. DESIGN AND SETTING: Prospective, single-centre study over an 8-week period in two adult ICUs at a university hospital. Environmental samples were taken from the water fittings of rooms once per week, during a 8-week period. Patients were screened weekly for P. aeruginosa carriage. Environmental and humans isolates were genotyped by using pulsed-field gel electrophoresis. RESULTS: P. aeruginosa was detected in 193 (86.2%) of the 224 U-bend samples and 10 of the 224 samples taken from the tap (4.5%). Seventeen of the 123 patients admitted were colonized with P. aeruginosa. Only one of the 14 patients we were able to evaluate was colonized by a clone present in the water environment of his room before the patient's first positive sample was obtained. CONCLUSION: The role of the water environment in the acquisition of P. aeruginosa by intensive care patients remains unclear, but water fittings seem to play a smaller role in non-epidemic situations than expected by many operational hospital hygiene teams

    Neighborhood deprivation and biomarkers of health in Britain: The mediating role of the physical environment

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    Background: Neighborhood deprivation has been consistently linked to poor individual health outcomes; however, studies exploring the mechanisms involved in this association are scarce. The objective of this study was to investigate whether objective measures of the physical environment mediate the association between neighborhood socioeconomic deprivation and biomarkers of health in Britain. Methods: We linked individual-level biomarker data from Understanding Society: The UK Household Longitudinal Survey (2010-2012) to neighborhood-level data from different governmental sources. Our outcome variables were forced expiratory volume in 1 s (FEV1%; n=16,347), systolic blood pressure (SBP; n=16,846), body mass index (BMI; n=19,417), and levels of C-reactive protein (CRP; n=11,825). Our measure of neighborhood socioeconomic deprivation was the Carstairs index, and the neighborhood-level mediators were levels of air pollutants (sulphur dioxide [SO2], particulate matter [PM10], nitrogen dioxide [NO2], and carbon monoxide [CO]), green space, and proximity to waste and industrial facilities. We fitted a multilevel mediation model following a multilevel structural equation framework in MPlus v7.4, adjusting for age, gender, and income. Results: Residents of poor neighborhoods and those exposed to higher pollution and less green space had worse health outcomes. However, only SO2exposure significantly and partially mediated the association between neighborhood socioeconomic deprivation and SBP, BMI, and CRP. Conclusion: Reducing air pollution exposure and increasing access to green space may improve population health but may not decrease health inequalities in Britain

    Les résistances à la vaccination

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    La vaccination est l’objet de controverses malgrĂ© son efficacitĂ© et bien que la trĂšs grande majoritĂ© de la population et des professionnels de santĂ© y soit favorable. Il existe en fait des rĂ©sistances sĂ©lectives vis-Ă -vis de vaccinations contre l’hĂ©patite B, la grippe, le BCG, la coqueluche et la rougeole, qui ont fait l’objet de controverses. Ces derniĂšres, nĂ©es avec la vaccination, peuvent avoir diverses origines : effets secondaires rĂ©els, plus souvent coĂŻncidence temporelle entre la vaccination et le dĂ©clenchement d’une maladie qui apparaĂźt habituellement Ă  l’ñge oĂč l’on vaccine. Cette coĂŻncidence peut ĂȘtre anticipĂ©e et sa gestion doit ĂȘtre amĂ©liorĂ©e par une optimisation des systĂšmes de pharmacovigilance et de la communication Ă  ce propos. Les controverses peuvent aussi ĂȘtre dĂ©clenchĂ©es par des Ă©tudes scientifiques aisĂ©ment publiĂ©es mĂȘme lorsqu’elles sont entachĂ©es de biais, ou parfois par l’interprĂ©tation tendancieuse des interventions des autoritĂ©s de santĂ©, ou encore par les dĂ©cisions de justice, difficilement comprĂ©hensibles pour le public. Tous ces Ă©lĂ©ments jettent le doute dans les esprits et ne font que conforter les opposants, d’autant que l’exclusion d’un risque est difficilement dĂ©montrable sur le plan scientifique. L’expĂ©rience montre qu’il est difficile de sortir d’une polĂ©mique. L’amĂ©lioration de la communication, Ă  la fois vis-Ă -vis des professionnels et du grand public est essentielle : elle passe par l’utilisation adĂ©quate des mĂ©dias mais aussi par l’intervention des professionnels de terrain vaccinateurs, Ă  condition qu’ils soient compĂ©tents, convaincus et motivĂ©s

    La vaccination contre la varicelle

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    Deux vaccins contre la varicelle prĂ©parĂ©s Ă  partir d'une souche virale attĂ©nuĂ©e, la souche Oka, sont dĂ©sormais disponibles en France. Le vaccin permet une sĂ©roconversion dans prĂšs de 100 % des cas, avec une dose chez le nourrisson et l'enfant, aprĂšs deux doses chez l'adolescent et l'adulte. L'efficacitĂ© est surtout Ă©tablie par l'expĂ©rience amĂ©ricaine, oĂč une vaccination universelle des nourrissons d'Ăąge supĂ©rieur Ă  12 mois et un rattrapage des sujets rĂ©ceptifs ont Ă©tĂ© introduits depuis 1995. L'incidence de la varicelle a diminuĂ© d'environ 85 % et porte sur toutes les tranches d'Ăąge. La tolĂ©rance du vaccin est bonne, les effets adverses, outre la fiĂšvre et les rĂ©actions locales, Ă©tant surtout reprĂ©sentĂ©s par les Ă©ruptions varicelliformes. La France a adoptĂ© pour l'instant une attitude restrictive vis-Ă -vis du vaccin en raison de la persistance d'incertitudes : durĂ©e de protection, dĂ©calage de l'Ăąge de la maladie et augmentation potentielle de l'incidence du zona

    Vaccination contre l’hĂ©patite B

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    Les vaccins contre le virus de l’hĂ©patite B (VHB) sont disponibles depuis 1981 en France. Au premier vaccin, d’origine plasmatique, ont rapidement succĂ©dĂ© les vaccins recombinants, produits par gĂ©nie gĂ©nĂ©tique, seuls autorisĂ©s aujourd’hui. L’efficacitĂ© de ces vaccins est bien dĂ©montrĂ©e, mais les polĂ©miques les concernant en France ont contribuĂ© Ă  ce que la couverture vaccinale soit encore insuffisante. Cette revue fait le point sur divers aspects de la vaccination anti-VHB, et propose des recommandations. Elle rĂ©sume les travaux d’un groupe de travail impliquant praticiens et associations sur le sujet

    Les Infections osseuses de l'enfant en Nouvelle-Calédonie (atteintes atypiques : diagnostic et prise en charge : étude rétrospective sur 5 ans)

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    LYON1-BU Santé (693882101) / SudocPARIS-BIUM (751062103) / SudocSudocFranceF
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